pith:KZPZX5C2
Reducing Postselection Overhead in Magic-State Cultivation by In-Patch Multiplexing
In-patch multiplexing reduces expected attempts in magic-state cultivation by creating multiple early opportunities inside one logical patch.
arxiv:2605.03616 v2 · 2026-05-05 · quant-ph
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Claims
Under a uniform depolarizing noise model with idle noise, the proposed protocol substantially reduces the injection-and-cultivation discard rate and the expected number of attempts required to obtain an accepted early-stage candidate. At a physical error rate of p=2×10^{-3}, the injection-and-cultivation expected attempts are reduced by 45.46% for d1=3 and by 72.91% for d1=5, relative to the single-site MSC baseline. In the direct full-cycle evaluation including escape, the expected attempts per kept logical output are further reduced by 49.04% for d1=3 and by 78.69% for d1=5.
The escape stage and the decoder-based acceptance procedure can be kept identical to the single-site baseline without introducing new error sources or changing the logical-error behavior, and the uniform depolarizing noise model with idle noise accurately captures the relevant hardware behavior during multiplexing.
In-patch multiplexing reduces expected attempts for early-stage magic-state cultivation by 45.46% (d1=3) to 72.91% (d1=5) and full-cycle attempts by 49-79% at p=2e-3, while final logical error rates stay governed by the escape-stage threshold.
Receipt and verification
| First computed | 2026-05-29T02:05:45.767618Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
Canonical hash
565f9bf45a09817d2025865cfb809997a91700d91970b8b8c9c60703a9cf6e7e
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curl -sH 'Accept: application/ld+json' https://pith.science/pith/KZPZX5C2BGAX2IBFQZOPXAEZS6 \
| jq -c '.canonical_record' \
| python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
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Canonical record JSON
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